10804838400 has 360 divisors, whose sum is σ = 39737196240. Its totient is φ = 2878341120.

The previous prime is 10804838381. The next prime is 10804838417. The reversal of 10804838400 is 483840801.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10804838400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058712 + ... + 11059688.

Almost surely, 2^10804838400 is an apocalyptic number.

10804838400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868598120).

10804838400 is an abundant number, since it is smaller than the sum of its proper divisors (28932357840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10804838400 is an frugal number, since it uses more digits than its factorization.

10804838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10804838400 in words is "ten billion, eight hundred four million, eight hundred thirty-eight thousand, four hundred".